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Finding the Fourth Proportional to 321.61, 443.59 and 197.33

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Solution

The fourth proportional to 321.61, 443.59 and 197.33 is: 272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.61 : 443.59 = 197.33 : x
  2. Step 2: Convert to fraction form
    321.61/443.59 = 197.33/x
  3. Step 3: Cross multiply
    321.61x = 443.59 × 197.33
  4. Step 4: Simplify right side
    321.61x = 87,533.00
  5. Step 5: Solve for x
    x = 87,533.00/321.61
  6. Step 6: Final answer
    x = 272.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.